Lei, Antonio, Loeffler, David and Zerbes, Sarah Livia (2014) Euler systems for Rankin-Selberg convolutions of modular forms. Annals of Mathematics, 180 (2). pp. 653-771. doi:10.4007/annals.2014.180.2.6 ISSN 0003-486X.

Preview

PDF WRAP_Leoffler_eulersystem.pdf - Accepted Version - Requires a PDF viewer. Download (1045Kb) | Preview

Request Changes to record.

Abstract

We construct a Euler system in the cohomology of the tensor product of the Galois representations attached to two modular forms, using elements in the higher Chow groups of products of modular curves. We use these elements to prove a finiteness theorem for the strict Selmer group of the Galois representation when the associated p-adic Rankin–Selberg L-function is nonvanishing at s=1.

Item Type:	Journal Article
Subjects:	Q Science > QA Mathematics
Divisions:	Faculty of Science, Engineering and Medicine > Science > Mathematics
Library of Congress Subject Headings (LCSH):	L-functions, p-adic analysis
Journal or Publication Title:	Annals of Mathematics
Publisher:	Mathematical Sciences Publishers
ISSN:	0003-486X
Official Date:	2014
Dates:	Date Event 2014 Published 25 September 2013 Accepted 7 February 2013 Submitted
Volume:	180
Number:	2
Number of Pages:	79
Page Range:	pp. 653-771
DOI:	10.4007/annals.2014.180.2.6
Status:	Peer Reviewed
Publication Status:	Published
Access rights to Published version:	Restricted or Subscription Access
Date of first compliant deposit:	21 January 2016
Date of first compliant Open Access:	21 January 2016
Funder:	Université de Montréal. Centre de recherches mathématiques, Royal Society (Great Britain), Engineering and Physical Sciences Research Council (EPSRC), European Research Council (ERC)
Grant number:	EP/J018716/1 (EPSRC), 204083 (ERC)

Request changes or add full text files to a record

Repository staff actions (login required)

View Item

Downloads